Question

implify this expression using the Quotient Rule of Integer Exponents: 12^53÷7^53.(1 point)
Responses

12^53÷7^53
12 superscript 53 baseline divided by 7 superscript 53 baseline

5^106
5 superscript 106 baseline

5^53
5 superscript 53 baseline

12^106

Answer 1

To simplify the expression \( \frac{12^{53}}{7^{53}} \) using the Quotient Rule of Integer Exponents, we can apply the rule that states \( \frac{a^m}{b^m} = \left(\frac{a}{b}\right)^m \).

So, we have:

\[
\frac{12^{53}}{7^{53}} = \left(\frac{12}{7}\right)^{53}
\]

This means the expression simplifies to:

\[
\left(\frac{12}{7}\right)^{53}
\]

None of the provided response options directly represent this simplified form. However, if we are looking at \( \frac{12^{53}}{7^{53}} \) as a whole, we can consider that it is simply denoting the expression without further simplification. Thus, the correct response appears to be:

**12^53 ÷ 7^53**.